137640233 has 2 divisors, whose sum is σ = 137640234. Its totient is φ = 137640232.

The previous prime is 137640227. The next prime is 137640247. The reversal of 137640233 is 332046731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137545984 + 94249 = 11728^2 + 307^2 .

It is a cyclic number.

It is not a de Polignac number, because 137640233 - 2⁶ = 137640169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137640196 and 137640205.

It is not a weakly prime, because it can be changed into another prime (137640253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68820116 + 68820117.

It is an arithmetic number, because the mean of its divisors is an integer number (68820117).

Almost surely, 2^137640233 is an apocalyptic number.

It is an amenable number.

137640233 is a deficient number, since it is larger than the sum of its proper divisors (1).

137640233 is an equidigital number, since it uses as much as digits as its factorization.

137640233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 137640233 is about 11732.0174309451. The cubic root of 137640233 is about 516.3154644590.

Adding to 137640233 its reverse (332046731), we get a palindrome (469686964).

The spelling of 137640233 in words is "one hundred thirty-seven million, six hundred forty thousand, two hundred thirty-three".